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arXiv · 1007.1983

The linear preservers of real diagonalizable matrices

Bernard Randé·Clément de Seguins Pazzis
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Abstract

Using a recent result of Bogdanov and Guterman on the linear preservers of pairs of simultaneously diagonalizable matrices, we determine all the automorphisms of the vector space M_n(R) which stabilize the set of diagonalizable matrices. To do so, we investigate the structure of linear subspaces of diagonalizable matrices of M_n(R) with maximal dimension.

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Bernard Randé, Clément de Seguins Pazzis. 2010-07-12. The linear preservers of real diagonalizable matrices. https://doi.org/10.1016/j.laa.2011.03.014

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